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Finding the Fourth Proportional to 464,976, 697,470.48 and 132,552

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Solution

The fourth proportional to 464,976, 697,470.48 and 132,552 is: 198,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,976 : 697,470.48 = 132,552 : x
  2. Step 2: Convert to fraction form
    464,976/697,470.48 = 132,552/x
  3. Step 3: Cross multiply
    464,976x = 697,470.48 × 132,552
  4. Step 4: Simplify right side
    464,976x = 92,451,107,064.96
  5. Step 5: Solve for x
    x = 92,451,107,064.96/464,976
  6. Step 6: Final answer
    x = 198,829.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.